![]() ![]() Axis of Symmetry - A vertical line that divides the parabola into two symmetrical halves.Vertex - The highest or lowest point on the graph of a quadratic equation, depending on whether the parabola opens upwards or downwards.The shape and direction of a parabola depend on the coefficients of the equation. Parabola - The U-shaped graph of a quadratic equation.They are the values of x for which the equation equals zero. Roots - The solutions of a quadratic equation.In quadratic equations, it involves expressing the equation as a product of two binomials. Factorisation - The process of breaking down an equation into a product of simpler elements or factors.It determines the nature and number of roots. Discriminant - In a quadratic equation ax² + bx + c = 0, the discriminant is the part under the square root in the quadratic formula, b² - 4ac.Coefficient - A number or symbol multiplied with a variable or an unknown quantity in an algebraic term, like 'a', 'b', and 'c' in ax² + bx + c. ![]() Quadratic Equation - These are quadratic expressions of the second degree, generally represented as ax² + bx + c = 0, where a, b, and c are coefficients.Teachers, tutors and online resources are valuable sources of assistance. Reviewing mistakes and understanding why they happened is equally important. Use past papers, online resources and worksheets. There are a few methods to solve a quadratic equation and find its roots. Set the equation equal to zero, that is, get all the nonzero terms on one side of the equal sign and 0 on the other. The values satisfying the quadratic equation are called roots of them. This not only makes learning more interesting but also helps in understanding the practical applications of these equations. To solve quadratic equations by factoring, we must make use of the zero-factor property. Apply quadratic equations to real-life situations.Understanding the discriminant (b² - 4ac) helps predict the nature of the root of the quadratic equation (real or imaginary) without solving the entire equation.For example, recognising a perfect square trinomial can save time. With practice, you'll start to notice patterns that make solving these equations quicker. It starts by observing that if a quadratic equation can be factorised in the following way : Then the right-hand side equals 0 when xR or when xS.Understand when and why to use each method. Familiarise yourself with all the methods of solving quadratic equations: factorisation, completing the square, using the quadratic formula and the graphical method.Start by solidifying your understanding of the basic concepts of quadratic equations, like what constitutes a quadratic equation, the importance of the coefficients and the general form ax² + bx + c = 0. ![]()
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